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2010 German National Olympiad
4
Solve the equation
Solve the equation
Source:
October 11, 2012
number theory unsolved
number theory
Problem Statement
Find all positive integer solutions for the equation
(
3
x
+
1
)
(
3
y
+
1
)
(
3
z
+
1
)
=
34
x
y
z
(3x+1)(3y+1)(3z+1)=34xyz
(
3
x
+
1
)
(
3
y
+
1
)
(
3
z
+
1
)
=
34
x
yz
Thx
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